Bücher der Reihe Series On Advances In Statistical Mechanics

Provides an introduction to the most important aspects in the physics of non-equilibrium systems. This title introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a probabilistic angle.

This volume covers the area of statistical physics - in particular statistical thermodynamics and stochastic theory of nonlinear systems far from equilibrium. Topics covered include: structures in excitable systems; reaction-diffusion systems, and nucleation phenomena in gases.

"This is an excellent survey of the Potts model and related matters in statistical mechanics. The first chapter constitutes a good introduction to statistical mechanics with a discussion of modelling principles, partition functions and Hamiltonians, lattices, statistical mechanics functions such as free energy. There are good general discussions of phase transitions, order parameters and critical exponents. Then the Potts models are defined and related to dichromatic polynomials and to the special case of the Ising model. The chapter ends with a discussion of block spin renormalization ... This book is a fine source of basic results about the Potts model and its mathematical physics environment." Mathematical Reviews

An introduction to the concepts and main tools for characterization of deterministic chaotic systems, with emphasis to statistical approaches. It focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology.

With large coupling effects between the transport of heat, mass, charge and chemical reactions at surfaces, it is important to know how one should properly integrate across systems where different phases are in contact. This book gives a prescription of how to set up flux equations for transports across heterogeneous systems.